The Melancholy of Haruhi Suzumiya (2006)

Kobato decides to become an honest, humble citizen after enduring a bitter experience known as “wisdom work.” He forms a pact with Osanai, his classmate with the same goal, and they plan to enter high school leading quiet lives. But for some reason, inexplicable events and disasters keep happening around them. Will Kobato and Osanai ever manage to live ordinary, peaceful lives?

A group of five boys and girls suddenly acquire supernatural powers. Ready to fight in galactic battles to defend human cause… they are struck by the realization that there are no wars, no conspiracies, no evils empires, no nothing in their high school life. They instead decide to idly have fun by wasting their powers away.

Socially awkward Aharen-san has personal boundary issues, either getting too close or too far from her classmates. When fellow student Raido picks up an eraser she drops, Aharen-san decides they’re now best friends. Whether studying, playing the arcade, or just eating lunch—she’s along for the ride. What follows is an impromptu bonding that shows affection can blossom in the unlikeliest of places!

Rito Yuuki is unlucky when it comes to love — no matter how hard he tries to confess to his crush, his efforts end in failure. After another day’s confession goes down the drain, Rito spends his night sulking in his bathtub. But when a naked girl with a pointed tail teleports into the tub with him, it seems like Rito’s luck is finally looking up! His fortune doesn’t last long when he finds himself accidentally engaged to the buxom beauty who is none other than the princess of the planet Deviluke!

Mahiro Yasaka is just an ordinary high school student, until one day he is suddenly attacked by a dangerous monster. Just when everything seems to be lost, he is saved by a strange girl named Nyaruko, who claims to be the shape-shifting deity Nyarlathotep from horror author H. P. Lovecraft's Cthulhu Mythos.

In the near future, in a world born of human imagination, what humans would call ghosts or monsters appear, and they come to be called "phantoms." Haruhiko Ichijō, is a first year at Hosea Academy along with his upperclassman Mai Kawakami, who fights phantoms with the ability "Spirit of Five Elements," Reina Izumi, who has the ability "Phantom Eater," and Koito Minase, who fights phantoms in solitude. They experience the ups and downs of high school life before a certain incident leads them to the truth of this world.

The story takes place in an age where "Ajin" (demi-human), more casually known as "Demi," have slowly started to become accepted into human society. Tetsuo Takahashi is a biology teacher who ends up teaching three such Demi, hoping to understand more about them while also managing to catch their attention.

When high school student Sora Kashiwagi finds himself staring down a mysterious oversized package sent to him by his self-proclaimed "adventurer" father, the last thing he expects is for it to be opened from the inside... by a little mummy so small it can fit in the palm of his hand!

In a bet to prove whether ghosts or aliens exist, two high schoolers face terrifying paranormal threats, gain superpowers and maybe even fall in love?!

Kimihara Himeno, also known as "Hime," goes about her life, love, and studies just like any ordinary high school girl. The only difference is that she's a centaur. She enjoys her school life along with classmates of many unique shapes, including Nozomi the draconid, Kyoko the goatfolk, an angelfolk class representative, and Sassas-chan the Antarctican. Hime's younger cousin Shino-chan, her friend Maki-chan, and the class representative's four younger sisters also join the cast in this very cute slice-of-life story about girls who are human, yet aren't!